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Finding the Fourth Proportional to 588.24, 881.73 and 345.24

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Solution

The fourth proportional to 588.24, 881.73 and 345.24 is: 517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.24 : 881.73 = 345.24 : x
  2. Step 2: Convert to fraction form
    588.24/881.73 = 345.24/x
  3. Step 3: Cross multiply
    588.24x = 881.73 × 345.24
  4. Step 4: Simplify right side
    588.24x = 304,408.47
  5. Step 5: Solve for x
    x = 304,408.47/588.24
  6. Step 6: Final answer
    x = 517.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.